Determine the equivalent \(A B C D\) parameters for the line in Problem 5.14 if it has \(70 \%\) shunt reactive (inductors) compensation and \(40 \%\) series capacitive compensation. Half of this compensation is installed at each end of the line, as in Figure 5.14.

Problem 5.14

A \(500-\mathrm{km}, 500-\mathrm{kV}, 60-\mathrm{Hz}\), uncompensated three-phase line has a positivesequence series impedance \(z=0.03+j 0.35

\Omega / \mathrm{km}\) and a positivesequence shunt admittance \(y=j 4.4

\times 10^{-6} \mathrm{~S} / \mathrm{km}\). Calculate:

(a) \(Z_{c}\),

(b) \((\gamma l)\), and

(c) the exact \(A B C D\) parameters for this line.

Figure 5.14

-167 km-1 -167 km- cm Line section out Intermediate substations 10 -167 km- m